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Atlas › Integer Profiles › Node 22,985,232

22,985,232

24 × 3 × 389 × 1231
Abundant Even Composite

22,985,232 factors as 2^4 × 3 × 389 × 1231. Its 40 positive divisors give a proper-divisor sum of 36,594,288, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 389 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 59,579,520
Proper Divisor Sum 36,594,288
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #22985219 ← → #22985233

Radix Representation

Decimal 22985232
Binary 1010111101011101000010000 (25 bits)
Octal 0o127535020
Hexadecimal 0x15EBA10

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 389 778 1,167 1,231 1,556 2,334 2,462 3,112 3,693 4,668 4,924 6,224 7,386 9,336 9,848 14,772 18,672 19,696 29,544 59,088 478,859 957,718 1,436,577 1,915,436 2,873,154 3,830,872 5,746,308 7,661,744 11,492,616 22,985,232

Collatz Trajectory (216 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

22,985,232 11,492,616 5,746,308 2,873,154 1,436,577 4,309,732 2,154,866 1,077,433 3,232,300 1,616,150 808,075 2,424,226 1,212,113 3,636,340 1,818,170 909,085 2,727,256 1,363,628 681,814 340,907 1,022,722 511,361 1,534,084 767,042 383,521 1,150,564 575,282 287,641 862,924 431,462 215,731 647,194 323,597 970,792 485,396 242,698 121,349 364,048 182,024 91,012 45,506 22,753 68,260 34,130 17,065 51,196 25,598 12,799 38,398 19,199 57,598 28,799 86,398 43,199 129,598 64,799 194,398 97,199 291,598 145,799

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